Automorphisms and examples of compact non Kähler manifolds

Details Automorphisms and examples of compact non Kähler manifolds Automorphisms and examples of compact non Kähler manifolds

2012-04-14

arxiv.org/abs/1204.3165v1

Mathematics

Algebraic Geometry

5 pages

Scientific paper

Let $X$ be a compact K\"ahler manifold with zero first Chern class and finite
fundamental group. Folklore says that if an automorphism $f$ of $X$ fixes a
K\"ahler class, then its order is finite. We apply this result to construct a
compact non K\"ahler manifold $F$ as a fibration $X \to F \to B$ over a complex
torus $B$.

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